(15F)₁₆ + (A7)₁₆ =
Hexadecimal
0 1 2 3 4 5 6 7 8 9 A B C D E F
F + 7 = 16
Hence 1 will be carry over
5 + A + 1 = 10
1 will be carry over
1 + 1 = 2
(15F)₁₆ + (A7)₁₆ = (206)₁₆
Converting into decimal
(15F)₁₆ = 1 x 16² + 5 x 16 + 15 = 256 + 80 + 15 = 351
(A7)₁₆ = 10 x 16 + 7 = 167
351 + 167 = 518
518
16 32 6
16 2 0
16 0 2
518 = (206)₁₆
(15F)₁₆ + (A7)₁₆ = (206)₁₆
There is a carry of 1 to the next higher order place when the sum of two digits is greater than the highest digit in the number system.
When the sum is more than 9, there is a carry in decimal.
When the total of two digits is more than F in hexadecimal, there is a carry.
At the unit's location, add
F + 7 = (F+1) + 6 = 10 + 6 = 16, or 6 with a carry of 1.
Adding at position 16 plus the carry of 1
The result (5+a)+1=F+1=10 is 0 with a carry of 1.
adding at the 162 position and carrying
1+0+1=2
The response is 206.
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